Nodiaque

There is a way to achieve what you want.
 
For the autoshutdown, you could use the CA Plugin "user script". In that script, you put the shutdown command (I think it's shutdown now) and on the schedule, you put whatever the schedule you want (can be daily at x hour).
 
For the autostart, you need to go in your bios. Mostly all bios have wake capability. Some can be woken up when there's network activity, power, etc. What you want is a clock wake (the name vary on each bios) and in there, you put when you want your computer to be startup by the bios
 
For the remaning of everything that startup automatically, that's how unraid work (unless you configure otherwise).